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Finding the Third Proportional to 525,451 and 815,284

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Solution

The third proportional to 525,451 and 815,284 is: 1,264,985.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    525,451 : 815,284 = 815,284 : x
  2. Step 2: Convert to fraction form
    525,451/815,284 = 815,284/x
  3. Step 3: Cross multiply
    525,451x = 815,284 × 815,284
  4. Step 4: Simplify right side
    525,451x = 664,688,000,656
  5. Step 5: Solve for x
    x = 664,688,000,656/525,451
  6. Step 6: Final answer
    x = 1,264,985.70

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.